Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bd |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
9.8164865206166E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13263096,-10877310864] |
[a1,a2,a3,a4,a6] |
Generators |
[-275665761786:10720119083742:270840023] |
Generators of the group modulo torsion |
j |
62993905739678382344569/23966031544474158720 |
j-invariant |
L |
4.682105276638 |
L(r)(E,1)/r! |
Ω |
0.081684610020093 |
Real period |
R |
14.329826865447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910r1 |
Quadratic twists by: -4 |